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# Triangle Centers

What do the orthocenter, centroid, and circumcenter share in common? They lie on the Euler line!

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The incenter of a triangle is the intersection of which 3 lines in the triangle?

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Which of the following statements is true about the incenter?

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Which of the following triangles doesn't have the incenter?

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How can we find the point equidistant from all sides in a triangle?

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Point \(I\) in the diagram above is the incenter of \(\triangle{ABC}\). If \(\angle{IAB}=40^\circ\) and \(\angle{IBC}=30^\circ\), what is the measure of \(\angle{IBA}\)?

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